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426675840 = 2735297997
BaseRepresentation
bin11001011011101…
…000111010000000
31002201212101012220
4121123220322000
51333212111330
6110201051040
713400453613
oct3133507200
91081771186
10426675840
111a9935968
12baa86a80
136a521516
144094a17a
15276d2710
hex196e8e80

426675840 has 256 divisors, whose sum is σ = 1439424000. Its totient is φ = 107347968.

The previous prime is 426675839. The next prime is 426675841. The reversal of 426675840 is 48576624.

It is an interprime number because it is at equal distance from previous prime (426675839) and next prime (426675841).

It is a junction number, because it is equal to n+sod(n) for n = 426675792 and 426675801.

It is not an unprimeable number, because it can be changed into a prime (426675841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4398672 + ... + 4398768.

It is an arithmetic number, because the mean of its divisors is an integer number (5622750).

Almost surely, 2426675840 is an apocalyptic number.

426675840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719712000).

426675840 is an abundant number, since it is smaller than the sum of its proper divisors (1012748160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

426675840 is a wasteful number, since it uses less digits than its factorization.

426675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 426675840 is about 20656.1332296246. The cubic root of 426675840 is about 752.8342183394.

The spelling of 426675840 in words is "four hundred twenty-six million, six hundred seventy-five thousand, eight hundred forty".